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Condensed Financial Information (Parent Company Only) - Condensed Statements of Income (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Condensed Financial Statements, Captions      
Salaries and benefits $ 96,513us-gaap_LaborAndRelatedExpense $ 94,002us-gaap_LaborAndRelatedExpense $ 89,833us-gaap_LaborAndRelatedExpense
Interest expense 18,606us-gaap_InterestExpense 20,695us-gaap_InterestExpense 30,114us-gaap_InterestExpense
Acquisition Expense 4,017us-gaap_BusinessCombinationAcquisitionRelatedCosts 0us-gaap_BusinessCombinationAcquisitionRelatedCosts 0us-gaap_BusinessCombinationAcquisitionRelatedCosts
Earnings before income tax benefit 129,615us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 132,702us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 88,262us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Income tax benefit 45,214us-gaap_IncomeTaxExpenseBenefit 46,566us-gaap_IncomeTaxExpenseBenefit 30,038us-gaap_IncomeTaxExpenseBenefit
Net income 84,401us-gaap_NetIncomeLoss 86,136us-gaap_NetIncomeLoss 58,224us-gaap_NetIncomeLoss
Parent Company      
Condensed Financial Statements, Captions      
Dividends from subsidiaries 58,900us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
71,400us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
40,000us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Other interest income 42us-gaap_InterestIncomeOther
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
34us-gaap_InterestIncomeOther
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
92us-gaap_InterestIncomeOther
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Other income, primarily management fees from subsidiaries 12,166us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
12,809us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
10,042us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Total income 71,108us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
84,243us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
50,134us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Salaries and benefits 15,722us-gaap_LaborAndRelatedExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
15,914us-gaap_LaborAndRelatedExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
13,205us-gaap_LaborAndRelatedExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Interest expense 4,002us-gaap_InterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
4,098us-gaap_InterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
6,691us-gaap_InterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Acquisition Expense 4,017us-gaap_BusinessCombinationAcquisitionRelatedCosts
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Other operating expenses, net 7,512us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
7,546us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
7,150us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Total expenses 31,253us-gaap_CostsAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
27,558us-gaap_CostsAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
27,046us-gaap_CostsAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Earnings before income tax benefit 39,855us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
56,685us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
23,088us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income tax benefit (6,862)us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(5,703)us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(6,222)us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income before undistributed earnings of subsidiaries 46,717fibk_IncomeLossFromContinuingOperationsBeforeEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
62,388fibk_IncomeLossFromContinuingOperationsBeforeEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
29,310fibk_IncomeLossFromContinuingOperationsBeforeEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Undistributed earnings of subsidiaries 37,684us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
23,748us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
28,914us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net income $ 84,401us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 86,136us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 58,224us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember